Shamblin (17-2) struck out nine batters in the Game 1 victory.
No. 11 Houston (30-4) improved to 8-0 in Conference USA. They move to 6-2 all-time against Memphis. The eight-game win streak in conference play is a program record.
The Cougars will be back on the field Sunday to close out the series at noon at Cougar Softball Stadium. Houston will be looking for its first ever 9-0 start and third straight series sweep in conference play.